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Mathematics
Problem
Verify whether the function
y
=
e
2
x
−
4
e
−
2
x
y=e^{2x}-4e^{-2x}
y
=
e
2
x
−
4
e
−
2
x
satisfies the differential equation
y
′
′
=
4
y
y''=4y
y
′′
=
4
y
for all real
x
x
x
. Give a brief justification.
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